The distance between two points with the given coordinates in space is;
<u><em>Distance = 17 units</em></u>
We are given the coordinates;
(32, 12, 5)
(20, 3, 13)
- Formula for the distance between two points that have (x, y, z) coordinates is;
d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
From the equation given to us, we can see that;
x₁ = 32
x₂ = 20
y₁ = 12
y₂ = 3
z₁ = 5
z₂ = 13
- Using the <em>formula for the distance</em>, we have;
d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)
d = √(144 + 81 + 64)
d = √289
d = 17
Thus, the <em>distance</em> between the two points is 17 units
Read more at; brainly.com/question/20974053
Given:
n = 20, sample size
xbar = 17.5, sample mean
s = 3.8, sample standard deiation
99% confidence interval
The degrees of freedom is
df = n-1 = 19
We do not know the population standard deviation, so we should determine t* that corresponds to df = 19.
From a one-tailed distribution, 99% CI means using a p-value of 0.005.
Obtain
t* = 2.8609.
The 99% confidence interval is
xbar +/- t*(s/√n)
t*(s/√n) = 2.8609*(3.8/√20) = 2.4309
The 99% confidence interval is
(17.5 - 2.4309, 17.5 + 2.4309) = (15.069, 19.931)
Answer: The 99% confidence interval is (15.07, 19.93)
19 wouldn’t be reasonable, but it’s a trick question, because it really depends on the weight of the items, but if we don’t know what items they are, then we have to predict that the biggest number would be to much, so I think it’s B, or 19.
Hope this helps.
Answer:
Step-by-step explanation:
(x₁, y₁) = (-10, -10) & (x₂, y₂) = (-5, -10)
y-intercept = b = -10
There is no change in y- coordinates. So, the line is parallel to x- axis
Slope = 0
Equation: y = b
y = -10
Answer:
118 degrees
Step-by-step explanation:
Supplementary = sum of the angles equal 180 degrees
180 - 62 = 118
118 degrees is your answer
Hope this helps!
